Segment Proofs Vocab

If a = b and b = c, then a = c. Example: If x = 5 and x = y, then y = 5.

A midpoint divides a segment into two equal parts. If L is the midpoint of TJ, then TL = LJ.

If a = b, then a + c = b + c. Example: If 2x - 5 = 10, then adding 5 to both sides gives 2x = 15.

Any geometric figure is congruent to itself. Example: AB ≅ AB.

If figure A is congruent to figure B, then figure B is congruent to figure A. Example: If AB ≅ CD, then CD ≅ AB.

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

If point B is between points A and C, then AB + BC = AC.

If a = b, then b can be substituted for a in any expression. Example: If x = 3, then 2x = 6 can be rewritten as 2(3) = 6.

If a = b and c ≠ 0, then a/c = b/c.

Segments that have the same length are called congruent segments.